Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 599, 961, 16, 831 i.e. 1 largest integer that divides all the numbers equally.
GCD of 599, 961, 16, 831 is 1
GCD(599, 961, 16, 831) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 599, 961, 16, 831 is 1
GCD(599, 961, 16, 831) = 1
Given Input numbers are 599, 961, 16, 831
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Greatest Common Divisior
We found the divisors of 599, 961, 16, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 599, 961, 16, 831 is 1.
Therefore, GCD of numbers 599, 961, 16, 831 is 1
Given Input Data is 599, 961, 16, 831
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 599 is 599
Prime Factorization of 961 is 31 x 31
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 831 is 3 x 277
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(599, 961) = 575639
GCD(599, 961) = ( 599 x 961 ) / 575639
GCD(599, 961) = 575639 / 575639
GCD(599, 961) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
GCD(1, 831) = 831 / 831
GCD(1, 831) = 1
GCD of 599, 961, 16, 831 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 599, 961, 16, 831?
GCD of 599, 961, 16, 831 is 1
2. Where do I get the detailed procedure to find GCD of 599, 961, 16, 831?
You can find a detailed procedure to find GCD of 599, 961, 16, 831 on our page.
3. How to find GCD of 599, 961, 16, 831 on a calculator?
You can find the GCD of 599, 961, 16, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.